The present disclosure relates to a connector assembly (20,30) for use with a drill bit (10) in a surgical procedure. The connector assembly comprises first (20) and second (30) cannulated connectors, where the first connector is for coupling to the drill bit and the second connector is for coupling to a fluid delivery device or a fluid withdrawal device, such as a syringe. The diameter of the first connector can be larger than the diameter of the second connector, such that a drill fits over the second connector to couple with the first connector. The dislosure further relates to a drill bit assembly comprising a cannulated drill bit and first and second cannulated connectors. The drill bit may have threads or cutting teeth (18) and at least one fluid transfer slot (15), which might be located at an angle to the drill bit axis.